图 书 馆
18.755 李群导论18.755 Introduction to Lie Groups |
|
| 课程网址: | http://ocw.mit.edu/courses/mathematics/18-755-introduction-to-lie... |
| 主讲教师: | Sigurdur Helgason |
| 开课单位: | 麻省理工学院 |
| 开课时间: | 信息不详。欢迎您在右侧留言补充。 |
| 课程语种: | 英语 |
| 中文简介: |  |
| 课程简介: | This course is devoted to the theory of Lie Groups with emphasis on its connections with Differential Geometry. The text for this class is Differential Geometry, Lie Groups and Symmetric Spaces by Sigurdur Helgason (American Mathematical Society, 2001). Much of the course material is based on Chapter I (first half) and Chapter II of the text. The text however develops basic Riemannian Geometry, Complex Manifolds, as well as a detailed theory of Semisimple Lie Groups and Symmetric Spaces. |
| 关 键 词: | 流形; 李群; 指数映射; 李代数; 空间齐次变换群的伴随表示; 覆盖群; 自同构群; 不变的微分形式 |
| 课程来源: | 麻省理工学院公开课 |
| 最后编审: | 2018-07-07：cmh |
| 阅读次数: | 81 |